All meromorphic solutions of the autonomous Schwarzian differential equations
Jie Zhang,
Liangwen Liao,
Chengfa Wu
et al.
Abstract:This paper considers a specific autonomous Schwarzian differential equation given by
and presents a complete characterization of its transcendental meromorphic solutions, thus confirming a conjecture posed by Liao and Wu recently. By combining our results with those obtained in a previous paper (Math. Z. 2 (2022), 1657–1672), we are able to explicitly construct all transcendental meromorphic solutions of the autonomous Schwarzian differential equations. Additionally, we identify all nonconstant rational soluti… Show more
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